Aspects of Calabi-Yau Integrable and Hitchin Systems
In the present notes, we explain the relationship between Calabi-Yau integrable systems and Hitchin systems based on work by Diaconescu-Donagi-Pantev and the author. Besides a review of these integrable systems, we highlight related topics, for example, variations of Hodge structures, cameral curves...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2019 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210074 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Aspects of Calabi-Yau Integrable and Hitchin Systems / F. Beck // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 42 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726018559639552 |
|---|---|
| author | Beck, F. |
| author_facet | Beck, F. |
| citation_txt | Aspects of Calabi-Yau Integrable and Hitchin Systems / F. Beck // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 42 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In the present notes, we explain the relationship between Calabi-Yau integrable systems and Hitchin systems based on work by Diaconescu-Donagi-Pantev and the author. Besides a review of these integrable systems, we highlight related topics, for example, variations of Hodge structures, cameral curves, and Slodowy slices, along the way.
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| first_indexed | 2025-12-07T21:24:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210074 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:17Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Beck, F. 2025-12-02T09:40:09Z 2019 Aspects of Calabi-Yau Integrable and Hitchin Systems / F. Beck // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 42 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H70; 14D07; 14J32 arXiv: 1809.05736 https://nasplib.isofts.kiev.ua/handle/123456789/210074 https://doi.org/10.3842/SIGMA.2019.001 In the present notes, we explain the relationship between Calabi-Yau integrable systems and Hitchin systems based on work by Diaconescu-Donagi-Pantev and the author. Besides a review of these integrable systems, we highlight related topics, for example, variations of Hodge structures, cameral curves, and Slodowy slices, along the way. It is a pleasure to thank Lara Anderson and Laura Schaposnik for the invitation to contribute to the SIGMA Special Issue on Geometry and Physics of Hitchin Systems and to give lectures on the topics of these notes at the ‘Workshop on the Geometry and Physics of Higgs bundles IV’ on March 16-17, 2019. Moreover, I thank Murad Alim, Aswin Balasubramanian, Peter Dalakov, and Martin Vogrin for comments on the first draft of these notes. This work is financially supported by the NSF grant "NSF CAREER Award DMS 1749013", the Simons Center for Geometry and Physics, and the DFG Emmy-Noether grant on "Building blocks of physical theories from the geometry of quantization and BPS states", number AL 1407/2-1. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Aspects of Calabi-Yau Integrable and Hitchin Systems Article published earlier |
| spellingShingle | Aspects of Calabi-Yau Integrable and Hitchin Systems Beck, F. |
| title | Aspects of Calabi-Yau Integrable and Hitchin Systems |
| title_full | Aspects of Calabi-Yau Integrable and Hitchin Systems |
| title_fullStr | Aspects of Calabi-Yau Integrable and Hitchin Systems |
| title_full_unstemmed | Aspects of Calabi-Yau Integrable and Hitchin Systems |
| title_short | Aspects of Calabi-Yau Integrable and Hitchin Systems |
| title_sort | aspects of calabi-yau integrable and hitchin systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210074 |
| work_keys_str_mv | AT beckf aspectsofcalabiyauintegrableandhitchinsystems |